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On the normal scalar curvature conjecture for legendrian submanifolds in Kenmotsu space forms

In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for Legendrian submanifolds in Kenmotsu space forms. Further, we derive an inequality for slant submanifolds in Kenmotsu space forms. Click to show full abstract

In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for Legendrian submanifolds in Kenmotsu space forms. Further, we derive an inequality for slant submanifolds in Kenmotsu space forms.

Keywords: legendrian submanifolds; submanifolds kenmotsu; space forms; conjecture; kenmotsu space

Journal Title: Filomat
Year Published: 2020

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